6249324960 has 480 divisors, whose sum is σ = 23820350400. Its totient is φ = 1537781760.

The previous prime is 6249324953. The next prime is 6249325021. The reversal of 6249324960 is 694239426.

6249324960 is a `hidden beast` number, since 62 + 493 + 2 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10095531 + ... + 10096149.

It is an arithmetic number, because the mean of its divisors is an integer number (49625730).

Almost surely, 2^6249324960 is an apocalyptic number.

6249324960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6249324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910175200).

6249324960 is an abundant number, since it is smaller than the sum of its proper divisors (17571025440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6249324960 is a wasteful number, since it uses less digits than its factorization.

6249324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 6249324960 is about 79052.6720611011. The cubic root of 6249324960 is about 1841.9494304359.

The spelling of 6249324960 in words is "six billion, two hundred forty-nine million, three hundred twenty-four thousand, nine hundred sixty".